An upright cylindrical tank is 10 feet in diameter and 10 feet high. If water in the tank is 6 feet deep. How much work is done in pumping all the water over the top edge of the tank?
I drew a picture in my notebook and tried to simplify the process, although I'm pretty sure as usual I'm doing most/all steps incorrectly.
The radius must be 5ft.
While this exercise doesn't list the weight of the water the whole chapter uses = 62.4 in pounds per cubic foot.
I'm reading examples which use cones instead of cylinders and literary guessing the following equations...
F = weight of water * distance
Weight of water = 62.4, distance = 6-y
W = F * D
I'm not sure if the integral should go from 0 to 10 or 0 to 6
I know this is a big mess, and I'm doing this horribly wrong but I just wanted to give my attempts before asking for help.
P.S I don't know what's wrong with these equations